Question

what is the slope of this line?
(2, 4)
(6, 6)
options: (\frac{1}{2}), (-\frac{1}{2}), 0, undefined

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify points

We have two points \((2, 4)\) and \((6, 6)\), so \( x_1 = 2 \), \( y_1 = 4 \), \( x_2 = 6 \), \( y_2 = 6 \).

Step3: Calculate slope

Substitute into the formula: \( m = \frac{6 - 4}{6 - 2} = \frac{2}{4} = \frac{1}{2} \).

Answer:

\(\frac{1}{2}\)